Hi,
i hav just studied the impulse invariance method & bilinear transform.
In Impulse Invariance there is "many to one mapping" and hence...

Hi,
i hav just studied the impulse invariance method & bilinear transform.
In Impulse Invariance there is "many to one mapping" and hence aliasing
takes place.
while in Bilinear Transform there is "one to one mapping" and hence no
aliasing.
Actually what is the "one to one mapping" & "many to one mapping"?
how it is related to aliasing?

I am having difficulties to solve the following question. Would you please
help me?
suppose that X and Y are independent and each rotationally...

I am having difficulties to solve the following question. Would you please
help me?
suppose that X and Y are independent and each rotationally invariant on
R^k
a) Let X = X1 with Xi on R^k1 where i =1,2 and prove
X2
- Each Xi is rotationally invariant in its own right
- If Vi is in R[from K1 to K] with V'V = I, then V'X = X1
b) Let p denote any orthogonal projection with dim...

Andor wrote:
> Jerry Avins wrote:
>
> ...
> > > > > Such a definition can be via specification of the response for one
> > > > > single sinusoid, and requiring linearity and time-invariance. As soon
> > > > > as you do that, the response at DC and Nyquist follows, and we can stop
> > > > > quibbering and just look at the facts.
> > You find a reasonable mathematical way to express an intuitively simple
>

Good morning all,
This conundrum may be due to it being too early in the day for me to
think clearly, so please tell me where I've gone...

Good morning all,
This conundrum may be due to it being too early in the day for me to
think clearly, so please tell me where I've gone wrong!
It would appear to me that complex conjugation would satisfy the
properties of linearity and time-invariance, and therefore could be
categorised as an LTI operation. However, clearly it creates
frequency content that was not present in the origin...

I have to design Chebyshev type I analog lowpass filter and transform
it to digital filter using impinvar() and bilinear(). Then I have to
plot...

I have to design Chebyshev type I analog lowpass filter and transform
it to digital filter using impinvar() and bilinear(). Then I have to
plot the gain response for both methods and do comparisons. However,
the gain response take in the input of g of 20log10(H)??
function X = invariance(fs)
fs = 100000;
wp = 10000*2/fs;
ws = 30000*2/fs;
rp = 0.4;
rs = 50;
[n,wn] = cheb1ord(wp,ws,r...

I have to design Chebyshev type I analog lowpass filter and transform
it to digital filter using impinvar() and bilinear(). Then I have to
plot...

I have to design Chebyshev type I analog lowpass filter and transform
it to digital filter using impinvar() and bilinear(). Then I have to
plot the gain response for both methods and do comparisons. However,
the gain response take in the input of g of 20log10(H)??
function X = invariance(fs)
fs = 100000;
wp = 10000*2/fs;
ws = 30000*2/fs;
rp = 0.4;
rs = 50;
[n,wn] = cheb1ord(wp,ws,r...

Hi all
I'm working on trying to model a non-linear system (described by a second
order differential eqn) into a discrete IIR filter. I guess...

Hi all
I'm working on trying to model a non-linear system (described by a second
order differential eqn) into a discrete IIR filter. I guess I'm trying to
follow the impulse invariance IIR filter design method.
In the laplace domain, the transfer function looks like this
H(s) = a^2/(s+a)^2
I tried looking up laplace transform tables to find the time domain form for
this and the closes...

Continuing with Tim Wescott's article I would like to ask following
question
Periodic signals are defined as
signal which repeats after...

Continuing with Tim Wescott's article I would like to ask following
question
Periodic signals are defined as
signal which repeats after certain period i.e mathematically,
f(t)=f(t+p), where p is time period (say, time domain signal).
Can this signal be called as "shift invariant"? Also some papers
write
"shift invariant" as "stationary" - meaning statistical property such
as
mea...

Hi,
I have some simple questions about the properties of linear systems. In a
linear System we have to assume the properties of homogeneity,...

Hi,
I have some simple questions about the properties of linear systems. In a
linear System we have to assume the properties of homogeneity, additivity
and shift invariance.
In a DSP book I read that from these properties you can conclude that a
sine wave as input will always produce a sine wave on the systems output
with the same frequency. I can't really see what speciality of sine waves
...

Hello forum,
if a time-invariant (zero memory) nonlinear filter is fed with a delta
impulse, it will output a certain output.
That output...

Hello forum,
if a time-invariant (zero memory) nonlinear filter is fed with a delta
impulse, it will output a certain output.
That output will be the same no matter when the impulse is applied due to
time invariance....
Superposition (convolution) is not valid for nonlinear system.
Is there however some generalized impulse response concept for nonlinear
systems?
After all, nonlinear...

Hi,
I am trying to design an analog transfer function in digital domain. I
tried using various methods like impulse invariance and...

Hi,
I am trying to design an analog transfer function in digital domain. I
tried using various methods like impulse invariance and bilinear
transform. But when I used bilinear transform I am getting error of around
1db at nyquist frequency.
Are there any other better methods???
Thanks
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Hello,
I wrote a small program for class to design a low pass digital filter. it is
an IIR filter designed using Butterworth.
We are given...

Hello,
I wrote a small program for class to design a low pass digital filter. it is
an IIR filter designed using Butterworth.
We are given the specifications, and I have generated H(s) and H(z) (using
impulse invariance, and using bilinear methods).
What is considered as a "standard" output to print as a result of such a
design run? I am now printing the pole locations for Butterwor...